Solve h^5970-20-0

Question

h^{5} \times 970 - 20 - 0

Simplify the expression

970 h^{5} - 20

Evaluate

h^{5} \times 970 - 20 - 0

Use the commutative property to reorder the terms

970 h^{5} - 20 - 0

Solution

970 h^{5} - 20

Show Solution

10 (97 h^{5} - 2)

Evaluate

h^{5} \times 970 - 20 - 0

Use the commutative property to reorder the terms

970 h^{5} - 20 - 0

Removing 0 doesn't change the value,so remove it from the expression

970 h^{5} - 20

Solution

10 (97 h^{5} - 2)

Show Solution

h = \frac{5 2 \times 9 7 ^{4}}{97}

Alternative Form

h \approx 0.460099

Evaluate

h^{5} \times 970 - 20 - 0

To find the roots of the expression,set the expression equal to 0

h^{5} \times 970 - 20 - 0 = 0

Use the commutative property to reorder the terms

970 h^{5} - 20 - 0 = 0

Removing 0 doesn't change the value,so remove it from the expression

970 h^{5} - 20 = 0

Move the constant to the right-hand side and change its sign

970 h^{5} = 0 + 20

Removing 0 doesn't change the value,so remove it from the expression

970 h^{5} = 20

Divide both sides

\frac{970 h ^{5}}{970} = \frac{20}{970}

Divide the numbers

h^{5} = \frac{20}{970}

Cancel out the common factor 10

h^{5} = \frac{2}{97}

Take the 5 -th root on both sides of the equation

5 h^{5} = 5 \frac{2}{97}

Calculate

h = 5 \frac{2}{97}

Solution

More Steps

Evaluate

5 \frac{2}{97}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{5 2}{5 97}

Multiply by the Conjugate

\frac{5 2 \times 5 9 7 ^{4}}{5 97 \times 5 9 7 ^{4}}

The product of roots with the same index is equal to the root of the product

\frac{5 2 \times 9 7 ^{4}}{5 97 \times 5 9 7 ^{4}}

Multiply the numbers

More Steps

Evaluate

597 \times 5 9 7^{4}

The product of roots with the same index is equal to the root of the product

5 97 \times 9 7^{4}

Calculate the product

5 9 7^{5}

Reduce the index of the radical and exponent with 5

97

\frac{5 2 \times 9 7 ^{4}}{97}

h = \frac{5 2 \times 9 7 ^{4}}{97}

Alternative Form

h \approx 0.460099

Show Solution